cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A357345 E.g.f. satisfies A(x) = -log(1 - x * exp(A(x))) * exp(3 * A(x)).

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%I A357345 #15 Sep 09 2024 09:33:57
%S A357345 0,1,9,173,5226,216564,11429592,733443990,55447217928,4826605609584,
%T A357345 475490102407200,52299789903627408,6353202640983827472,
%U A357345 844774875973448667792,122040471544637793494760,19034141943046836097099080,3187643959565686909679931648
%N A357345 E.g.f. satisfies A(x) = -log(1 - x * exp(A(x))) * exp(3 * A(x)).
%H A357345 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A357345 a(n) = Sum_{k=1..n} (n+3*k)^(k-1) * |Stirling1(n,k)|.
%F A357345 E.g.f.: Series_Reversion( exp(-x) * (1 - exp(-x * exp(-3*x))) ). - _Seiichi Manyama_, Sep 09 2024
%o A357345 (PARI) a(n) = sum(k=1, n, (n+3*k)^(k-1)*abs(stirling(n, k, 1)));
%Y A357345 Cf. A006963, A357343, A357344, A375422.
%Y A357345 Cf. A357334.
%K A357345 nonn
%O A357345 0,3
%A A357345 _Seiichi Manyama_, Sep 25 2022